Nicole had 90% as many sweets as Eva. Nicole gave away 20% of her sweets and Eva bought another 120 sweets. As a result, Nicole now has 60% as many sweets as Eva. Find the number of sweets that Eva had at first.
| |
Nicole |
Eva |
| Before |
9x3 |
10x3 |
| Change |
- 1.8x3 |
+ 120 |
| After |
7.2x3 |
10x3 + 120 |
Comparing Nicole and
Eva in the end |
3x7.2 |
5x7.2 |
| |
Nicole |
Eva |
| Before |
27 u |
30 u |
| Change |
- 5.4 u |
+ 120 |
After
|
21.6 u
|
30 u + 120 =
36 u |
90% =
90100 =
91020% x 9
=
20100 x 9
= 1.8
60% =
60100 =
35The number of sweets that Nicole had in the end is repeated.
Make the number of sweets that Nicole had in the end the same.
The number of sweets that Eva had in the end is repeated.
30 u + 120 = 36 u
36 u - 30 u = 120
6 u = 120
1 u = 120 ÷ 6 = 20
Number of sweets that Eva had at first
= 30 u
= 30 x 20
= 600
Answer: 600
